The possible obstacle to this conversion can however arise when trying to reconstruct the Higgs-doublet field \(H\)  from the EW Goldstone bosons \(\omega ^a\)  in \(U\)  and the Higgs scalar field \(h\) , making use [1]} of
\(|H|^2 &=& \frac{(v+h)^2}{2}\, ,\nonumber \\|\partial H|^2 &=& \frac{(v+h)^2}{4} \langle \partial _\mu U^\dagger \partial ^\mu U\rangle + \frac{1}{2} (\partial h)^2 \, ,\nonumber \\(\partial |H|^2)^2 &=& (v+h)^2 \, (\partial h)^2\,=\, 2 |H|^2 \, (\partial h)^2 \, .\) 
